Don't bother running 200 plus tread wear BFGs or similar. Just go right for the "exhibition class" tires. Run groups aren't based on classes. You can still run alongside your friends, and you'll be faster. If you aren't faster, no big deal, you're running in exhibition, and your times won't be recorded so no one will be able to make fun of you after the fact because there won't be any proof.
Also if you're like me, you'll want a Mustang as a back up car for when the Chevy breaks. rent one if you have too
Matt